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Finding the Fourth Proportional to 9,607.82, 14,402.93 and 3,364.41

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Solution

The fourth proportional to 9,607.82, 14,402.93 and 3,364.41 is: 5,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.82 : 14,402.93 = 3,364.41 : x
  2. Step 2: Convert to fraction form
    9,607.82/14,402.93 = 3,364.41/x
  3. Step 3: Cross multiply
    9,607.82x = 14,402.93 × 3,364.41
  4. Step 4: Simplify right side
    9,607.82x = 48,457,344.90
  5. Step 5: Solve for x
    x = 48,457,344.90/9,607.82
  6. Step 6: Final answer
    x = 5,043.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.